{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-17T16:06:51.171343Z",
     "start_time": "2018-04-17T16:06:50.767599Z"
    },
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n",
      "version of ipwidgets= 7.1.1\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "\n",
    "import numpy as np\n",
    "#import matplotlib.pyplot as plt\n",
    "from ipywidgets import interact, interactive, fixed, interact_manual,widgets\n",
    "import ipywidgets as widgets\n",
    "\n",
    "print('version of ipwidgets=',widgets.__version__)\n",
    "\n",
    "from lib.Reconstruction_plots import *\n",
    "from lib.decomposer import Eigen_decomp\n",
    "from lib.YearPlotter import YearPlotter\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "_figsize=[8,6]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## High-dimensional vectors\n",
    "\n",
    "We are used to work with 2 and 3 dimensional vectors, which we can think of as arrows in the plane or arrows in 3D space respectively."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "* How can we visualize vectors that are in dimension higher than 3?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "* One good way to visualize a $d$-dimensional vector is to draw it as a function from $1,2,\\ldots,d$ to the reals."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-09T20:08:05.519310Z",
     "start_time": "2018-04-09T20:08:05.515498Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "* All of the vector operations are well defined, including approximating a function using an orthonormal set of functions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "To get an intuition about the working of the PCA, we used an example in the plane, or $R^2$.\n",
    "While useful for intuition, this is not the typical case in which we use PCA. Typically we are interested in vectors in a space whose dimension is in the hundreds or more.\n",
    "\n",
    "How can we depict such vectors? If the coordinates of the vector have a natural order. For example, if the coordinates correspond to a grid of times, then a good representation is to make a plot in which the $x$-axis is the time and the $y$-axis is the value that corresponds to this time. \n",
    "\n",
    "Later in this class we will consider vectors that correspond to the temperature at a particular location each day of the year. These vectors will be of length 365 (we omit the extra days of leap years) and the PCA analysis will reveal the low dimensional subspace."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Function approximation\n",
    "For now, we will consider the vectors that are defined by sinusoidal functions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-17T16:06:51.179741Z",
     "start_time": "2018-04-17T16:06:51.173307Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "365"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# We define a grid that extends from o to 2*pi\n",
    "step=2*pi/365\n",
    "x=arange(0,2*pi,step)\n",
    "len(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "#### Define an orthonormal set\n",
    "\n",
    "The dimension of the space is 365 (arbitrary choice: the number of days in a year).\n",
    "\n",
    "We define some functions based on $\\sin()$ and $\\cos()$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-17T16:06:51.229211Z",
     "start_time": "2018-04-17T16:06:51.181839Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "v contains 9 vectors\n"
     ]
    }
   ],
   "source": [
    "c=sqrt(step/(pi))\n",
    "v=[]\n",
    "v.append(np.array(cos(0*x))*c/sqrt(2))\n",
    "v.append(np.array(sin(x))*c)\n",
    "v.append(np.array(cos(x))*c)\n",
    "v.append(np.array(sin(2*x))*c)\n",
    "v.append(np.array(cos(2*x))*c)\n",
    "v.append(np.array(sin(3*x))*c)\n",
    "v.append(np.array(cos(3*x))*c)\n",
    "v.append(np.array(sin(4*x))*c)\n",
    "v.append(np.array(cos(4*x))*c)\n",
    "\n",
    "print(\"v contains %d vectors\"%(len(v)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-17T16:06:51.579871Z",
     "start_time": "2018-04-17T16:06:51.231348Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106438f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot some of the functions (plotting all of them results in a figure that is hard to read.\n",
    "figure(figsize=_figsize)\n",
    "for i in range(5):\n",
    "    plot(x,v[i])\n",
    "grid()\n",
    "legend(['const','sin(x)','cos(x)','sin(2x)','cos(2x)']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "#### Check that it is  an orthonormal basis\n",
    "This basis is not **complete** it does not span the space of all functions. It spans a 9 dimensional sub-space.\n",
    "\n",
    "We will now check that this is an **orthonormal** basis. In other words, the length of each vector is 1 and every pair of vectors are orthogonal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-17T16:06:51.590003Z",
     "start_time": "2018-04-17T16:06:51.581832Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "1 0 0 0 0 0 0 0 0 \n",
      "0 1 0 0 0 0 0 0 0 \n",
      "0 0 1 0 0 0 0 0 0 \n",
      "0 0 0 1 0 0 0 0 0 \n",
      "0 0 0 0 1 0 0 0 0 \n",
      "0 0 0 0 0 1 0 0 0 \n",
      "0 0 0 0 0 0 1 0 0 \n",
      "0 0 0 0 0 0 0 1 0 \n",
      "0 0 0 0 0 0 0 0 1 "
     ]
    }
   ],
   "source": [
    "for i in range(len(v)): \n",
    "    print()\n",
    "    for j in range(len(v)):\n",
    "        a=dot(v[i],v[j])\n",
    "        a=round(1000*a+0.1)/1000\n",
    "        print('%1.0f'%a, end=' ')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "#### Rewriting the set of vectors as a matrix\n",
    "\n",
    "Combining the vectors as rows in a matrix allows us use very succinct (and very fast) matrix multiplications instead of for loops with vector products."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-17T16:06:51.596031Z",
     "start_time": "2018-04-17T16:06:51.592325Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(365, 9)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "U=vstack(v).transpose()\n",
    "shape(U)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Approximating an arbitrary function\n",
    "We now take an unrelated function $f=|x-4|$\n",
    "and see how we can use the basis matrix `U` to approximate it. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-17T16:06:51.600524Z",
     "start_time": "2018-04-17T16:06:51.598121Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "f1=abs(x-4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-17T16:06:51.751878Z",
     "start_time": "2018-04-17T16:06:51.602212Z"
    },
    "hide_input": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ae4a550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=_figsize)\n",
    "plot(x,f1);\n",
    "grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "#### Approximations  of increasing accuracy\n",
    "To understand how we can use a basis to approximate functions, we create a sequence of approximations $g(i)$ such that $g(i)$ is an approximation that uses the first $i$ vectors in the basis.\n",
    "\n",
    "The larger $i$ is, the closer $g(i)$ is to $f$. Where the distance between $f$ and $g(i)$ is defined by the euclidean norm:\n",
    "$$   \\| g(i)- f \\|_2\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "#### Plotting the approximations\n",
    "Below we show how increasing the number of vectors in the basis improves the approximation of $f$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-17T16:06:52.035268Z",
     "start_time": "2018-04-17T16:06:51.753433Z"
    },
    "hide_input": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ae6a278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eigen_decomp=Eigen_decomp(x,f1,np.zeros(len(x)),U)\n",
    "recon_plot(eigen_decomp,year_axis=False,Title='Best Reconstruction',interactive=False,figsize=_figsize);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-17T16:06:52.107546Z",
     "start_time": "2018-04-17T16:06:52.037189Z"
    },
    "hide_input": true,
    "scrolled": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "a24848809ce74e03ac80259abe7c5cd3",
       "version_major": 2,
       "version_minor": 0
      },
      "text/html": [
       "<p>Failed to display Jupyter Widget of type <code>VBox</code>.</p>\n",
       "<p>\n",
       "  If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n",
       "  that the widgets JavaScript is still loading. If this message persists, it\n",
       "  likely means that the widgets JavaScript library is either not installed or\n",
       "  not enabled. See the <a href=\"https://ipywidgets.readthedocs.io/en/stable/user_install.html\">Jupyter\n",
       "  Widgets Documentation</a> for setup instructions.\n",
       "</p>\n",
       "<p>\n",
       "  If you're reading this message in another frontend (for example, a static\n",
       "  rendering on GitHub or <a href=\"https://nbviewer.jupyter.org/\">NBViewer</a>),\n",
       "  it may mean that your frontend doesn't currently support widgets.\n",
       "</p>\n"
      ],
      "text/plain": [
       "VBox(children=(HBox(children=(FloatSlider(value=0.0, description='c0', max=32.29570559348949, orientation='vertical', step=3.2295705593489488), FloatSlider(value=0.0, description='c1', max=13.890978134306339, orientation='vertical', step=1.389097813430634), FloatSlider(value=0.0, description='c2', max=14.285464698745864, orientation='vertical', step=1.4285464698745864), FloatSlider(value=0.0, description='c3', max=1.5637963122785787, orientation='vertical', step=0.15637963122785786), FloatSlider(value=0.0, description='c4', max=2.526640915803119, orientation='vertical', step=0.2526640915803119), FloatSlider(value=0.0, description='c5', max=2.972992156397289, orientation='vertical', step=0.2972992156397289), FloatSlider(value=0.0, description='c6', max=0.2130363937473089, orientation='vertical', step=0.02130363937473089), FloatSlider(value=0.0, description='c7', max=1.999629163316103, orientation='vertical', step=0.19996291633161029), FloatSlider(value=0.0, description='c8', max=1.1159489565455392, orientation='vertical', step=0.11159489565455391))), Output()))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eigen_decomp=Eigen_decomp(x,f1,np.zeros(len(x)),U)\n",
    "plotter=recon_plot(eigen_decomp,year_axis=False,interactive=True,figsize=_figsize);\n",
    "display(plotter.get_Interactive())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "#### Food for thought\n",
    "Visually, it is clear that $g(i)$ is getting close to $f$ as $i$ increases. To quantify the improvement, compute \n",
    "$ \\| g(i)- f \\|_2 $ as a function of $i$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Recovering from Noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-17T16:06:52.114575Z",
     "start_time": "2018-04-17T16:06:52.109326Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "noise=np.random.normal(size=x.shape)\n",
    "f1=2*v[1]-4*v[5]\n",
    "f2=f1+0.3*noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-17T16:06:52.275273Z",
     "start_time": "2018-04-17T16:06:52.116493Z"
    },
    "hide_input": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b0d7860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=_figsize)\n",
    "plot(x,f1,linewidth=5);\n",
    "plot(x,f2);\n",
    "grid();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-04-17T16:06:52.349685Z",
     "start_time": "2018-04-17T16:06:52.277281Z"
    },
    "hide_input": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "41f67c29883f48688c07da0de693ce5b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/html": [
       "<p>Failed to display Jupyter Widget of type <code>VBox</code>.</p>\n",
       "<p>\n",
       "  If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n",
       "  that the widgets JavaScript is still loading. If this message persists, it\n",
       "  likely means that the widgets JavaScript library is either not installed or\n",
       "  not enabled. See the <a href=\"https://ipywidgets.readthedocs.io/en/stable/user_install.html\">Jupyter\n",
       "  Widgets Documentation</a> for setup instructions.\n",
       "</p>\n",
       "<p>\n",
       "  If you're reading this message in another frontend (for example, a static\n",
       "  rendering on GitHub or <a href=\"https://nbviewer.jupyter.org/\">NBViewer</a>),\n",
       "  it may mean that your frontend doesn't currently support widgets.\n",
       "</p>\n"
      ],
      "text/plain": [
       "VBox(children=(HBox(children=(FloatSlider(value=0.0, description='c0', max=0.0, min=-0.2818498071106761, orientation='vertical', step=0.02818498071106761), FloatSlider(value=0.0, description='c1', max=2.3032796280058996, orientation='vertical', step=0.23032796280058995), FloatSlider(value=0.0, description='c2', max=0.4360724678290948, orientation='vertical', step=0.04360724678290948), FloatSlider(value=0.0, description='c3', max=0.0, min=-0.363788772708446, orientation='vertical', step=0.0363788772708446), FloatSlider(value=0.0, description='c4', max=0.0, min=-0.2599667723795123, orientation='vertical', step=0.02599667723795123), FloatSlider(value=0.0, description='c5', max=0.0, min=-3.7601777337120836, orientation='vertical', step=0.37601777337120834), FloatSlider(value=0.0, description='c6', max=0.0008681296573809456, orientation='vertical', step=8.681296573809456e-05), FloatSlider(value=0.0, description='c7', max=0.10582738343612938, orientation='vertical', step=0.010582738343612938), FloatSlider(value=0.0, description='c8', max=0.16862807825411227, orientation='vertical', step=0.016862807825411226))), Output()))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eigen_decomp=Eigen_decomp(x,f2,np.zeros(len(x)),U)\n",
    "plotter=recon_plot(eigen_decomp,year_axis=False,interactive=True,figsize=_figsize);\n",
    "display(plotter.get_Interactive())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
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    "## Summary\n",
    "* Functions can be thought of as vectors and vice versa.\n",
    "* The **fourier** basis is a set of orthonormal fuctions made of `sin`s and `cosine`s\n",
    "* Orthonormal functions can be used to remove the noise added to an underlying distribution"
   ]
  }
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